Jet Marching Methods for Solving the Eikonal Equation
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Publication:5021411
DOI10.1137/20M1366526zbMath1490.65307arXiv2009.05490MaRDI QIDQ5021411
Samuel F. Potter, Maria Kourkina Cameron
Publication date: 13 January 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.05490
Complexity and performance of numerical algorithms (65Y20) Numerical methods for partial differential equations, boundary value problems (65N99) Numerical methods in optimal control (49M99)
Related Items (3)
An efficient jet marcher for computing the quasipotential for 2D SDEs. Enhancing accuracy and efficiency of quasipotential solvers ⋮ Numerical geometric acoustics: an eikonal-based approach for modeling sound propagation in 3D environments ⋮ Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes
Uses Software
Cites Work
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- Jet schemes for advection problems
- Fast sweeping fifth order WENO scheme for static Hamilton-Jacobi equations with accurate boundary treatment
- Fast sweeping method for the factored eikonal equation
- High order fast sweeping methods for static Hamilton-Jacobi equations
- A gradient-augmented level set method with an optimally local, coherent advection scheme
- Increasing the smoothness of bicubic spline surfaces
- Automatic smoothing with geometric surface patches
- An introduction to Eulerian geometrical optics (1992--2002)
- Big ray tracing: Multivalued travel time field computation using viscosity solutions of the eikonal equation
- Computing the quasipotential for nongradient SDEs in 3D
- Ordered line integral methods for solving the eikonal equation
- Corner cases, singularities, and dynamic factoring
- Babich's expansion and high-order Eulerian asymptotics for point-source Helmholtz equations
- Some Improvements of the Fast Marching Method
- Fast Two-scale Methods for Eikonal Equations
- A Compact Upwind Second Order Scheme for the Eikonal Equation
- Chordal cubic spline interpolation is fourth-order accurate
- Evaluating Derivatives
- Introduction to Automatic Differentiation and MATLAB Object-Oriented Programming
- Computing geodesic paths on manifolds
- Fast Marching Methods
- Ordered Upwind Methods for Static Hamilton--Jacobi Equations: Theory and Algorithms
- Fast methods for the Eikonal and related Hamilton– Jacobi equations on unstructured meshes
- A fast sweeping method for Eikonal equations
- Efficient algorithms for globally optimal trajectories
- A fast marching level set method for monotonically advancing fronts.
- The high‐frequency asymptotic field of a point source in an inhomogeneous medium
- High-Order Factorization Based High-Order Hybrid Fast Sweeping Methods for Point-Source Eikonal Equations
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